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The 10 best ETs < 1001 in the 7-limit, according to Tenney
error weighting of primes, RMS weighted errors averaging, and
pi(7)-1 complexity weighting, are:

171, 441, 31, 12, 2, 10, 53, 5, 3, 612

And in the 17-limit:

494, 46, 10, 31, 183, 311, 22, 270, 7, 2

Temperaments on both lists:

2, 10, 31

Temperaments on either list, 12 < n < 100:

22, 31, 46, 53

-Carl

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@...> wrote:
>
> The 10 best ETs < 1001 in the 7-limit, according to Tenney
> error weighting of primes, RMS weighted errors averaging, and
> pi(7)-1 complexity weighting, are:
>
> 171, 441, 31, 12, 2, 10, 53, 5, 3, 612
>
> And in the 17-limit:
>
> 494, 46, 10, 31, 183, 311, 22, 270, 7, 2

What happened to 11 and 13?

At 01:15 PM 3/5/2007, you wrote:
>--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@...> wrote:
>> The 10 best ETs < 1001 in the 7-limit, according to Tenney
>> error weighting of primes, RMS weighted errors averaging, and
>> pi(7)-1 complexity weighting, are:
>>
>> 171, 441, 31, 12, 2, 10, 53, 5, 3, 612
>>
>> And in the 17-limit:
>>
>> 494, 46, 10, 31, 183, 311, 22, 270, 7, 2
>
>What happened to 11 and 13?

11

> (et-series 10 1000 5 "log(p)" "rms" "logflat")
((115.42371602505672 270) (139.95204891577757 31)
(142.39240616327962 41) (148.10142700944667 22)
(148.8599437881374 2) (156.5661071052294 5)
(162.84655292602022 7) (163.63606210807586 494)
(164.8881590809726 224) (165.70070563171595 612))

13

> (et-series 10 1000 6 "log(p)" "rms" "logflat")
((93.06885719289106 270) (109.83060259848959 494)
(121.49460663260042 224) (131.35813884959794 31)
(132.8830869207243 87) (133.4543228850123 41)
(136.19831288585186 7) (139.6721882475058 10)
(139.78726285033937 46) (140.26894723253437 130))

I basically want something that stops changing much
past the 17-limit.

-Carl

At 02:38 AM 3/5/2007, you wrote:
>The 10 best ETs < 1001 in the 7-limit, according to Tenney
>error weighting of primes, RMS weighted errors averaging, and
>pi(7)-1 complexity weighting, are:
>
>171, 441, 31, 12, 2, 10, 53, 5, 3, 612

So it looks like a list of improving ETs here would be
something like: 2, 12, 31, 171.

>And in the 17-limit:
>
>494, 46, 10, 31, 183, 311, 22, 270, 7, 2

And here: 2, 7, 10, 46, 494.

-Carl